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Finding the Fourth Proportional to 33,072.34, 45,640.16 and 17,965.30

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Solution

The fourth proportional to 33,072.34, 45,640.16 and 17,965.30 is: 24,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072.34 : 45,640.16 = 17,965.30 : x
  2. Step 2: Convert to fraction form
    33,072.34/45,640.16 = 17,965.30/x
  3. Step 3: Cross multiply
    33,072.34x = 45,640.16 × 17,965.30
  4. Step 4: Simplify right side
    33,072.34x = 819,938,983.16
  5. Step 5: Solve for x
    x = 819,938,983.16/33,072.34
  6. Step 6: Final answer
    x = 24,792.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.